本文对具有多重休假特性和弹性服务机制排队模型中的顾客行为进行均衡分析及定价策略的研究. 系统中存在两个服务台, 服务台数量会根据系统中的顾客数进行调整. 在客户较少时, 仅开设一个服务台提供服务, 服务空竭后服务台休假. 一次休假结束时, 如果系统处于人流高峰期, 为提高服务效率, 增强顾客的满意度, 两个服务台同时对外提供服务. 在完全可见和几乎可见情形下, 根据线性“报酬-损失”理论构建效用函数, 寻求个体的最优策略和统筹全局的社会最优收益. 此外, 通过设置定价策略, 寻求整体社会福利的最大化. 最后, 运用实证分析并结合遗传优化算法对顾客及社会福利的最优解进行性能分析.
Abstract
In this paper, the customers' equilibrium and pricing strategy in queueing model with multiple vacation and elastic service mechanism are analyzed. There are two servers in the queueing system, the servers switch of whenever the number of customers reach a given threshold . Only one server is available when there are few customers. The servers start its vacation when the system is empty. At the end of a vacation, if the system is in peak traffic, in order to increase the efficiency and improve customers satisfaction, two servers will be available at the same time. The equilibrium balking strategies of customers and the optimal social benefits of the system are discussed under the linear reward-cost structure in the fully observable case and the almost observable case. In addition, set pricing strategy is beneficial to maximize social welfare. Finally, a performance analysis of the optimal solutions for customer and social welfare is illustrated by using specific example data combined with a genetic algorithm.
关键词
休假排队 /
弹性服务机制 /
均衡策略 /
定价策略 /
优化
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Key words
vacation queue /
elastic service mechanism /
equilibrium strategy /
pricing strategy /
optimization
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中图分类号：
O226
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脚注
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基金
国家自然科学基金(62171143);河北省自然科学基金(G2024203008)
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